10111101000541 has 2 divisors, whose sum is σ = 10111101000542. Its totient is φ = 10111101000540.

The previous prime is 10111101000499. The next prime is 10111101000569. The reversal of 10111101000541 is 14500010111101.

10111101000541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6336547562500 + 3774553438041 = 2517250^2 + 1942821^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111101000541 - 2⁹ = 10111101000029 is a prime.

It is a super-2 number, since 2×10111101000541² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111101007541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550500270 + 5055550500271.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550500271).

Almost surely, 2^{10111101000541} is an apocalyptic number.

It is an amenable number.

10111101000541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101000541 is an equidigital number, since it uses as much as digits as its factorization.

10111101000541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 16.

Adding to 10111101000541 its reverse (14500010111101), we get a palindrome (24611111111642).

The spelling of 10111101000541 in words is "ten trillion, one hundred eleven billion, one hundred one million, five hundred forty-one", and thus it is an aban number.